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Finding the Fourth Proportional to 30,005.43, 41,406.23 and 17,257.65

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Solution

The fourth proportional to 30,005.43, 41,406.23 and 17,257.65 is: 23,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.43 : 41,406.23 = 17,257.65 : x
  2. Step 2: Convert to fraction form
    30,005.43/41,406.23 = 17,257.65/x
  3. Step 3: Cross multiply
    30,005.43x = 41,406.23 × 17,257.65
  4. Step 4: Simplify right side
    30,005.43x = 714,574,138.87
  5. Step 5: Solve for x
    x = 714,574,138.87/30,005.43
  6. Step 6: Final answer
    x = 23,814.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.